The computation of classical higher-order statistics such as higher-order moments or spectra is difficult for images due to the huge number of terms to be estimated and interpreted. We propose an alternative approach in which multiplicative pixel interactions are described by a series of Wiener functionals. Since the functionals are estimated implicitly via polynomial kernels, the combinatorial explosion associated with the classical higher-order statistics is avoided. First results show that image structures such as lines or corners can be predicted correctly, and that pixel interactions up to the order of five play an important role in natural images.
| Author(s): | Franz, MO. and Schölkopf, B. |
| Book Title: | Advances in Neural Information Processing Systems 17 |
| Journal: | Advances in Neural Information Processing Systems |
| Pages: | 465-472 |
| Year: | 2005 |
| Month: | July |
| Day: | 0 |
| Editors: | LK Saul and Y Weiss and L Bottou |
| Publisher: | MIT Press |
| Bibtex Type: | Conference Paper (inproceedings) |
| Address: | Cambridge, MA, USA |
| Event Name: | 18th Annual Conference on Neural Information Processing Systems (NIPS 2004) |
| Event Place: | Vancouver, BC, Canada |
| Digital: | 0 |
| Electronic Archiving: | grant_archive |
| ISBN: | 0-262-19534-8 |
| Organization: | Max-Planck-Gesellschaft |
| School: | Biologische Kybernetik |
| Links: | |
BibTex
@inproceedings{2779,
title = {Implicit Wiener series for higher-order image analysis},
journal = {Advances in Neural Information Processing Systems},
booktitle = {Advances in Neural Information Processing Systems 17},
abstract = {The computation of classical higher-order statistics such as
higher-order moments or spectra is difficult for images due to the huge number of terms to be estimated and interpreted. We propose an alternative approach in which multiplicative pixel interactions are described by a series of Wiener functionals. Since the functionals are estimated implicitly via polynomial kernels, the combinatorial
explosion associated with the classical higher-order statistics is avoided. First results show that image structures such as lines or corners can be predicted correctly, and that pixel interactions up to the order of five play an important role in natural images.},
pages = {465-472},
editors = {LK Saul and Y Weiss and L Bottou},
publisher = {MIT Press},
organization = {Max-Planck-Gesellschaft},
school = {Biologische Kybernetik},
address = {Cambridge, MA, USA},
month = jul,
year = {2005},
slug = {2779},
author = {Franz, MO. and Sch{\"o}lkopf, B.},
month_numeric = {7}
}